1. Q: After the tortoise-rabbit race, the rabbit stopped to rest and fell asleep. When he woke up, he found that he had slept for 200 minutes, and then he immediately ran after him at the original speed. When the tortoise reached the finish line, the rabbit was 100 meters away. How long is the whole journey?

Answer: suppose the rabbit ran for x minutes, slept for 200 minutes and ran for x-200 minutes.

So I ran 30x meters and the rabbit ran 330(x-200) meters.

Gui ran more than the rabbit 100 meters.

So 30x-330(x-200)= 100.

30x-330x+66000= 100

300x=65900

x=659/3

The distance of the return trip is the whole journey.

So the whole journey is 30*659/3=6590 meters.

2. Q: The tortoise and rabbit race10000m, and the speed of the rabbit is five times that of the tortoise. When they started from the starting point together, the tortoise kept running, and the rabbit ran somewhere and began to sleep. When the rabbit woke up, the turtle was 5000 meters ahead of it, and the rabbit caught up, but when the turtle reached the finish line, the rabbit was still behind 100 meters.

Answer:10000-(10000-100) ÷ 5 = 8020 (meters).

10000- 100 = 9900 (m) Calculate the actual distance the rabbit runs.

If the rabbit runs 9900 meters without sleeping, then the tortoise runs: 9900 ÷ 5 = 1980 (meters).

Now the tortoise has run 10000 meters, except that the tortoise ran 1980 meters when the rabbit ran 9900 meters, and the rest were run when the rabbit was sleeping.

It can be found that "the tortoise is 5000 meters ahead of the rabbit" is an unnecessary condition.

So the tortoise ran 8020 meters.